Renormalized solutions for \(p(x)\)-Laplacian equation with Neumann nonhomogeneous boundary condition

DOI10.1007/s43036-020-00055-9zbMath1445.35181OpenAlexW3012708076MaRDI QIDQ2193466

E. Nassouri, Stanislas Ouaro, Urbain Traore, Mohamed Badr Benboubker

Publication date: 18 August 2020

Published in: Advances in Operator Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s43036-020-00055-9

zbMATH Keywords

maximal monotone operatorNeumann boundary condition\(p(\cdot)\)-Laplaciangeneralized Sobolev spacesexistence of a renormalized solution

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Quasilinear elliptic equations with (p)-Laplacian (35J92)

Related Items (2)

Distributional solutions of anisotropic nonlinear elliptic systems with variable exponents: existence and regularity ⋮ Entropy solutions for elliptic Schrödinger type equations under Fourier boundary conditions

Cites Work

• Well-posedness result for a nonlinear elliptic problem involving variable exponent and Robin type boundary condition
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